353664 has 48 divisors (see below), whose sum is σ = 1021020. Its totient is φ = 117504.

The previous prime is 353657. The next prime is 353677. The reversal of 353664 is 466353.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353664.

It is an unprimeable number.

353664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 999 + ... + 1305.

2³⁵³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510510).

353664 is an abundant number, since it is smaller than the sum of its proper divisors (667356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

353664 is a wasteful number, since it uses less digits than its factorization.

353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 312 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 353664 is about 594.6965612815. The cubic root of 353664 is about 70.7180513103.

It can be divided in two parts, 3536 and 64, that added together give a square (3600 = 60²).

The spelling of 353664 in words is "three hundred fifty-three thousand, six hundred sixty-four".